A strong limit theorem in the Kac-Zwanzig model

G. Ariel, E. Vanden-Eijnden

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


A strong limit theorem is proved for a version of the well-known Kac-Zwanzig model, in which a 'distinguished' particle is coupled to a bath of N free particles through linear springs with random stiffness. It is shown that the evolution of the distinguished particle, albeit generated from a deterministic set of dynamical equations, converges pathwise towards the solution of an integro-differential equation with a random noise term. Both the canonical and microcanonical ensembles are considered.

Original languageEnglish
Pages (from-to)145-162
Number of pages18
Issue number1
StatePublished - 1 Jan 2009
Externally publishedYes


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